Thu Jun 11 11:26:43 2026 Thu Jun 11 11:26:43 2026 Thu Jun 11 11:26:43 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 11 11:26:43 2026 random seeds: f801c0c6 230b6365 Thu Jun 11 11:26:43 2026 MPI process 0 of 1 Thu Jun 11 11:26:43 2026 Using 32 OpenMP threads Thu Jun 11 11:26:43 2026 factoring 12591644550849448746828843128109481055638454775893363459271758550860245481228105245358893844402781263802219752246239324767048493149472230733800516109734028832251 (161 digits) Thu Jun 11 11:26:44 2026 searching for 15-digit factors Thu Jun 11 11:26:44 2026 commencing number field sieve (161-digit input) Thu Jun 11 11:26:44 2026 R0: -5846386160653143082794032765335 Thu Jun 11 11:26:44 2026 R1: 1602171435361394175056893 Thu Jun 11 11:26:44 2026 A0: 97317656274088600071657044010536565348 Thu Jun 11 11:26:44 2026 A1: -44969770587273095698880235155176 Thu Jun 11 11:26:44 2026 A2: -101615225705223329855117391 Thu Jun 11 11:26:44 2026 A3: -16722097283871967851 Thu Jun 11 11:26:44 2026 A4: 30916185415136 Thu Jun 11 11:26:44 2026 A5: 2352000 Thu Jun 11 11:26:44 2026 skew 2115596.50, size 1.303e-15, alpha -7.635, combined = 1.330e-12 rroots = 3 Thu Jun 11 11:26:44 2026 Thu Jun 11 11:26:44 2026 commencing relation filtering Thu Jun 11 11:26:44 2026 setting target matrix density to 120.0 Thu Jun 11 11:26:44 2026 estimated available RAM is 257736.5 MB Thu Jun 11 11:26:44 2026 commencing duplicate removal, pass 1 Thu Jun 11 11:27:16 2026 error -1 reading relation 13558767 Thu Jun 11 11:28:40 2026 error -1 reading relation 50321514 Thu Jun 11 11:29:27 2026 error -1 reading relation 70804166 Thu Jun 11 11:29:50 2026 error -15 reading relation 80822742 Thu Jun 11 11:30:30 2026 error -1 reading relation 97479653 Thu Jun 11 11:31:22 2026 skipped 31 malformed relations Thu Jun 11 11:31:22 2026 found 20766545 hash collisions in 121083690 relations Thu Jun 11 11:31:58 2026 commencing duplicate removal, pass 2 Thu Jun 11 11:36:03 2026 found 18839209 duplicates and 102244481 unique relations Thu Jun 11 11:36:03 2026 memory use: 660.8 MB Thu Jun 11 11:36:03 2026 reading ideals above 720000 Thu Jun 11 11:36:03 2026 commencing singleton removal, initial pass Thu Jun 11 11:48:44 2026 memory use: 3012.0 MB Thu Jun 11 11:48:45 2026 reading all ideals from disk Thu Jun 11 11:48:48 2026 memory use: 4533.3 MB Thu Jun 11 11:49:13 2026 keeping 109484424 ideals with weight <= 200, target excess is 556611 Thu Jun 11 11:49:41 2026 commencing in-memory singleton removal Thu Jun 11 11:49:43 2026 begin with 102244481 relations and 109484424 unique ideals Thu Jun 11 11:49:52 2026 reduce to 39658970 relations and 36711198 ideals in 20 passes Thu Jun 11 11:49:52 2026 max relations containing the same ideal: 109 Thu Jun 11 11:50:25 2026 removing 4049689 relations and 3649689 ideals in 400000 cliques Thu Jun 11 11:50:27 2026 commencing in-memory singleton removal Thu Jun 11 11:50:28 2026 begin with 35609281 relations and 36711198 unique ideals Thu Jun 11 11:50:31 2026 reduce to 35282901 relations and 32730424 ideals in 10 passes Thu Jun 11 11:50:31 2026 max relations containing the same ideal: 102 Thu Jun 11 11:50:59 2026 removing 2963273 relations and 2563273 ideals in 400000 cliques Thu Jun 11 11:51:02 2026 commencing in-memory singleton removal Thu Jun 11 11:51:02 2026 begin with 32319628 relations and 32730424 unique ideals Thu Jun 11 11:51:04 2026 reduce to 32119269 relations and 29964340 ideals in 10 passes Thu Jun 11 11:51:04 2026 max relations containing the same ideal: 95 Thu Jun 11 11:51:29 2026 removing 2620340 relations and 2220340 ideals in 400000 cliques Thu Jun 11 11:51:30 2026 commencing in-memory singleton removal Thu Jun 11 11:51:31 2026 begin with 29498929 relations and 29964340 unique ideals Thu Jun 11 11:51:33 2026 reduce to 29327707 relations and 27570747 ideals in 9 passes Thu Jun 11 11:51:33 2026 max relations containing the same ideal: 90 Thu Jun 11 11:51:56 2026 removing 2434874 relations and 2034874 ideals in 400000 cliques Thu Jun 11 11:51:57 2026 commencing in-memory singleton removal Thu Jun 11 11:51:58 2026 begin with 26892833 relations and 27570747 unique ideals Thu Jun 11 11:51:59 2026 reduce to 26731624 relations and 25372714 ideals in 8 passes Thu Jun 11 11:51:59 2026 max relations containing the same ideal: 84 Thu Jun 11 11:52:19 2026 removing 2316639 relations and 1916639 ideals in 400000 cliques Thu Jun 11 11:52:21 2026 commencing in-memory singleton removal Thu Jun 11 11:52:21 2026 begin with 24414985 relations and 25372714 unique ideals Thu Jun 11 11:52:23 2026 reduce to 24258336 relations and 23297262 ideals in 9 passes Thu Jun 11 11:52:23 2026 max relations containing the same ideal: 84 Thu Jun 11 11:52:42 2026 removing 1843766 relations and 1528361 ideals in 315405 cliques Thu Jun 11 11:52:43 2026 commencing in-memory singleton removal Thu Jun 11 11:52:44 2026 begin with 22414570 relations and 23297262 unique ideals Thu Jun 11 11:52:45 2026 reduce to 22307454 relations and 21660495 ideals in 9 passes Thu Jun 11 11:52:45 2026 max relations containing the same ideal: 79 Thu Jun 11 11:53:07 2026 relations with 0 large ideals: 1723 Thu Jun 11 11:53:07 2026 relations with 1 large ideals: 12560 Thu Jun 11 11:53:07 2026 relations with 2 large ideals: 171532 Thu Jun 11 11:53:07 2026 relations with 3 large ideals: 1023301 Thu Jun 11 11:53:07 2026 relations with 4 large ideals: 3228068 Thu Jun 11 11:53:07 2026 relations with 5 large ideals: 5805491 Thu Jun 11 11:53:07 2026 relations with 6 large ideals: 6202608 Thu Jun 11 11:53:07 2026 relations with 7+ large ideals: 5862171 Thu Jun 11 11:53:07 2026 commencing 2-way merge Thu Jun 11 11:53:32 2026 reduce to 12893882 relation sets and 12246923 unique ideals Thu Jun 11 11:53:32 2026 commencing full merge Thu Jun 11 12:04:17 2026 memory use: 1478.1 MB Thu Jun 11 12:04:20 2026 found 5614590 cycles, need 5611123 Thu Jun 11 12:04:22 2026 weight of 5611123 cycles is about 673415364 (120.01/cycle) Thu Jun 11 12:04:22 2026 distribution of cycle lengths: Thu Jun 11 12:04:22 2026 1 relations: 353374 Thu Jun 11 12:04:23 2026 2 relations: 406413 Thu Jun 11 12:04:23 2026 3 relations: 429877 Thu Jun 11 12:04:23 2026 4 relations: 415718 Thu Jun 11 12:04:23 2026 5 relations: 402281 Thu Jun 11 12:04:23 2026 6 relations: 377369 Thu Jun 11 12:04:23 2026 7 relations: 355312 Thu Jun 11 12:04:23 2026 8 relations: 328948 Thu Jun 11 12:04:23 2026 9 relations: 305942 Thu Jun 11 12:04:23 2026 10+ relations: 2235889 Thu Jun 11 12:04:23 2026 heaviest cycle: 28 relations Thu Jun 11 12:04:26 2026 commencing cycle optimization Thu Jun 11 12:04:49 2026 start with 50366570 relations Thu Jun 11 12:08:20 2026 pruned 1779518 relations Thu Jun 11 12:08:21 2026 memory use: 1419.9 MB Thu Jun 11 12:08:21 2026 distribution of cycle lengths: Thu Jun 11 12:08:21 2026 1 relations: 353374 Thu Jun 11 12:08:21 2026 2 relations: 416337 Thu Jun 11 12:08:21 2026 3 relations: 446814 Thu Jun 11 12:08:21 2026 4 relations: 429512 Thu Jun 11 12:08:21 2026 5 relations: 416944 Thu Jun 11 12:08:21 2026 6 relations: 389351 Thu Jun 11 12:08:21 2026 7 relations: 367096 Thu Jun 11 12:08:21 2026 8 relations: 337419 Thu Jun 11 12:08:21 2026 9 relations: 312900 Thu Jun 11 12:08:21 2026 10+ relations: 2141376 Thu Jun 11 12:08:21 2026 heaviest cycle: 28 relations Thu Jun 11 12:08:37 2026 RelProcTime: 2513 Thu Jun 11 12:08:40 2026 Thu Jun 11 12:08:40 2026 commencing linear algebra Thu Jun 11 12:08:40 2026 using VBITS=256 Thu Jun 11 12:08:40 2026 stopping after matrix build Thu Jun 11 12:08:40 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 11 12:08:41 2026 read 5611123 cycles Thu Jun 11 12:09:02 2026 cycles contain 21759426 unique relations Thu Jun 11 12:11:45 2026 read 21759426 relations Thu Jun 11 12:11:49 2026 using 20 quadratic characters above 4294917295 Thu Jun 11 12:11:52 2026 building initial matrix Thu Jun 11 12:20:34 2026 memory use: 2900.2 MB Thu Jun 11 12:20:42 2026 read 5611123 cycles Thu Jun 11 12:20:43 2026 matrix is 5610945 x 5611123 (2667.9 MB) with weight 808830367 (144.15/col) Thu Jun 11 12:20:43 2026 sparse part has weight 632050853 (112.64/col) Thu Jun 11 12:23:08 2026 filtering completed in 2 passes Thu Jun 11 12:23:10 2026 matrix is 5610785 x 5610963 (2667.9 MB) with weight 808822501 (144.15/col) Thu Jun 11 12:23:10 2026 sparse part has weight 632048614 (112.65/col) Thu Jun 11 12:23:54 2026 BLanczosTime: 914 Thu Jun 11 12:23:54 2026 elapsed time 00:57:11 Thu Jun 11 12:56:53 2026 Thu Jun 11 12:56:53 2026 Thu Jun 11 12:56:53 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 11 12:56:53 2026 random seeds: 53c4b5ec 63a1bb0f Thu Jun 11 12:56:53 2026 MPI process 0 of 1 Thu Jun 11 12:56:53 2026 Using 64 OpenMP threads Thu Jun 11 12:56:53 2026 factoring 12591644550849448746828843128109481055638454775893363459271758550860245481228105245358893844402781263802219752246239324767048493149472230733800516109734028832251 (161 digits) Thu Jun 11 12:56:53 2026 searching for 15-digit factors Thu Jun 11 12:56:54 2026 commencing number field sieve (161-digit input) Thu Jun 11 12:56:54 2026 R0: -5846386160653143082794032765335 Thu Jun 11 12:56:54 2026 R1: 1602171435361394175056893 Thu Jun 11 12:56:54 2026 A0: 97317656274088600071657044010536565348 Thu Jun 11 12:56:54 2026 A1: -44969770587273095698880235155176 Thu Jun 11 12:56:54 2026 A2: -101615225705223329855117391 Thu Jun 11 12:56:54 2026 A3: -16722097283871967851 Thu Jun 11 12:56:54 2026 A4: 30916185415136 Thu Jun 11 12:56:54 2026 A5: 2352000 Thu Jun 11 12:56:54 2026 skew 2115596.50, size 1.303e-15, alpha -7.635, combined = 1.330e-12 rroots = 3 Thu Jun 11 12:56:54 2026 Thu Jun 11 12:56:54 2026 commencing linear algebra Thu Jun 11 12:56:54 2026 using VBITS=256 Thu Jun 11 12:56:54 2026 skipping matrix build Thu Jun 11 12:56:54 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 11 12:56:57 2026 matrix starts at (0, 0) Thu Jun 11 12:56:58 2026 matrix is 5610785 x 5610963 (2667.9 MB) with weight 808822501 (144.15/col) Thu Jun 11 12:56:58 2026 sparse part has weight 632048614 (112.65/col) Thu Jun 11 12:56:58 2026 saving the first 240 matrix rows for later Thu Jun 11 12:56:59 2026 matrix includes 256 packed rows Thu Jun 11 12:57:01 2026 matrix is 5610545 x 5610963 (2406.3 MB) with weight 577182559 (102.87/col) Thu Jun 11 12:57:01 2026 sparse part has weight 541029032 (96.42/col) Thu Jun 11 12:57:01 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Jun 11 12:57:12 2026 commencing Lanczos iteration (64 threads) Thu Jun 11 12:57:12 2026 memory use: 3463.1 MB Thu Jun 11 12:57:56 2026 linear algebra at 0.5%, ETA 2h10m Thu Jun 11 12:59:00 2026 checking every 40000 dimensions, checkpointing every 2600000 dimensions Thu Jun 11 15:04:31 2026 lanczos halted after 21983 iterations (dim = 5610544) Thu Jun 11 15:04:52 2026 recovered 29 nontrivial dependencies Thu Jun 11 15:04:53 2026 BLanczosTime: 7679 Thu Jun 11 15:04:53 2026 Thu Jun 11 15:04:53 2026 commencing square root phase Thu Jun 11 15:04:53 2026 handling dependencies 1 to 64 Thu Jun 11 15:04:53 2026 reading relations for dependency 1 Thu Jun 11 15:04:53 2026 read 2804479 cycles Thu Jun 11 15:04:58 2026 cycles contain 10876720 unique relations Thu Jun 11 15:07:21 2026 read 10876720 relations Thu Jun 11 15:08:58 2026 multiplying 10876720 relations Thu Jun 11 15:11:16 2026 multiply complete, coefficients have about 627.43 million bits Thu Jun 11 15:11:18 2026 initial square root is modulo 425839 Thu Jun 11 15:18:47 2026 sqrtTime: 834 Thu Jun 11 15:18:47 2026 p48 factor: 268401042863816205744817587340730009111499562139 Thu Jun 11 15:18:47 2026 p113 factor: 46913545552944492030875467443238695914355019045396005300866444647299471465836756441789110470028057136363030207009 Thu Jun 11 15:18:47 2026 elapsed time 02:21:54